An Inventory Model for Delayed Deteriorating Items with Lead Time and Quadratic Time Dependent Holding Cost

Authors

  • Babani Abdullahi Umar
    Bauchi State University, Gadau
  • Zaharaddini Haruna Musa
    Jigawa State College of Remedial and Advanced Studies, Babura, Jigawa State
  • Sadiq Abubakar Gambo
    Jigawa State College of Remedial and Advanced Studies, Babura, Jigawa State
  • Isah Abduulmumin Lurwanu
    Aliko Dangote University of Science and Technology

Keywords:

Delayed Deterioration, Inventory, Lead time, Price Defendant Demand

Abstract

In this study, the inventory model for delayed deteriorating items with lead time, price dependent demand and Quadratic time dependent holding cost were developed. The proposed model assumes a price dependent demand before deterioration begins and constant demand rate at the onset of deterioration and beyond. Shortages are allowed and completely backlogged. The mathematical model developed is analytically solved and an iterative method is employed to find its numerical solution. Examples on the application of the model are provided and sensitivity analysis on some selected system parameters carried out.

Author Biographies

Babani Abdullahi Umar

Department of Mathematical Sciences, Bauchi State University, Gadau, Bauchi State, Nigeria

Sadiq Abubakar Gambo

Department of Sciences, Jigawa State College of Remedial and Advanced Studies, Babura, Jigawa State, Nigeria

Dimensions

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Published

2025-08-18

How to Cite

Umar, B. A., Musa, Z. H., Gambo, S. A., & Lurwanu, I. A. (2025). An Inventory Model for Delayed Deteriorating Items with Lead Time and Quadratic Time Dependent Holding Cost. Journal of Science Research and Reviews, 2(3), 90-94. https://doi.org/10.70882/josrar.2025.v2i3.49

Issue

Vol. 2 No. 3 (2025): JOSRAR Vol. 2 No. 3 (May - June)

Section

Articles
Copyright & Licensing

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How to Cite

Umar, B. A., Musa, Z. H., Gambo, S. A., & Lurwanu, I. A. (2025). An Inventory Model for Delayed Deteriorating Items with Lead Time and Quadratic Time Dependent Holding Cost. Journal of Science Research and Reviews, 2(3), 90-94. https://doi.org/10.70882/josrar.2025.v2i3.49

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